Abstract
The ratio of the phonon peak current to the main peak current in double-barrier resonant-tunneling structures is significantly enhanced by barrier asymmetry. Previously, using the Keldysh formalism, we derived analytical expressions, valid in the zero-temperature, high-bias regime, which explained this eftect. We now provide analytical expressions valid for finite temperature and bias obtained from (i) an intuitive derivation using a rate equation approach and (ii) a more general derivation using the Keldysh formalism. The results of the two difFerent approaches are shown to be essentially identical for the ex- perimental device parameters. The finite temperature expressions shed light on the e8'ect of the Pauli ex- clusion factors in the contacts on the current. In particular, we show that in a transmission formulation, the transmission coefficients, T(c,c, ), are themselves functions of the Fermi factors in the contacts.
DOI
10.1103/PhysRevB.48.15132
Citation
Phys Rev. B, Vol. 48, Number 20 (1993) 15132.
Date of this Version
11-15-1993
Recommended Citation
Lake, Roger; Klimeck, Gerhard; Anantram, J. P.; and Datta, Supriyo, "Rate Equations for the Phonon Peak in Resonant-Tunneling Structures" (1993). Birck and NCN Publications. Paper 795.
http://dx.doi.org/10.1103/PhysRevB.48.15132
Comments
This is the published version of Roger Lake, Gerhard Klimeck, M. P. Anantram, and Supriyo Datta. (15 November 1993). "Rate equations for the phonon peak in resonant-tunneling structures". First published in the Physical Review B and is available online at: https://doi.org/10.1103/PhysRevB.48.15132